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1019494368 = 25327944809
BaseRepresentation
bin111100110001000…
…011111111100000
32122001100200100200
4330301003333200
54041442304433
6245055145200
734156362534
oct7461037740
92561320320
101019494368
11483529232
12245515200
131332a4409
1499583bc4
155e782613
hex3cc43fe0

1019494368 has 72 divisors (see below), whose sum is σ = 2935951200. Its totient is φ = 335522304.

The previous prime is 1019494349. The next prime is 1019494373. The reversal of 1019494368 is 8634949101.

1019494368 is a `hidden beast` number, since 10 + 194 + 94 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348 + ... + 45156.

It is an arithmetic number, because the mean of its divisors is an integer number (40777100).

Almost surely, 21019494368 is an apocalyptic number.

1019494368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019494368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467975600).

1019494368 is an abundant number, since it is smaller than the sum of its proper divisors (1916456832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1019494368 is a wasteful number, since it uses less digits than its factorization.

1019494368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44904 (or 44893 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1019494368 is about 31929.5218880584. The cubic root of 1019494368 is about 1006.4563485207.

The spelling of 1019494368 in words is "one billion, nineteen million, four hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 44809 89618 134427 179236 268854 358472 403281 537708 716944 806562 1075416 1433888 1613124 2150832 3226248 3539911 4301664 6452496 7079822 10619733 12904992 14159644 21239466 28319288 31859199 42478932 56638576 63718398 84957864 113277152 127436796 169915728 254873592 339831456 509747184 1019494368